Transversal Core of Intuitionistic Fuzzy k-Partite Hypergraphs

Abstract

In graph theory, a transversal is a set of vertices incident to every edge in a graph but in Intuitionistic Fuzzy k-Partite Hypergraph(IFk-PHG), the transversal is a hyperedge which cuts every hyperedges. In this article, Intuitionistic Fuzzy Transversal(IFT), minimal IFT, locally minimal IFT, IFTC(Intuitionistic Fuzzy Transversal Core) of IFk- PHG has been defined. It has been proved that every IFk-PHG has a nonempty IFT. Also few of the properties relating to the transversal of IFk-PHG were discussed.

Keywords

• ift
• minimal ift
• locally minimal ift
• iftc of ifk- phg.